3e^2+2e-5=0

Solution for 3e^2+2e-5=0 equation:

Simplifying
3e2 + 2e + -5 = 0

Reorder the terms:
-5 + 2e + 3e2 = 0

Solving
-5 + 2e + 3e2 = 0

Solving for variable 'e'.

Factor a trinomial.
(-5 + -3e)(1 + -1e) = 0

Subproblem 1
Set the factor '(-5 + -3e)' equal to zero and attempt to solve:

Simplifying
-5 + -3e = 0

Solving
-5 + -3e = 0

Move all terms containing e to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -3e = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3e = 0 + 5
-3e = 0 + 5

Combine like terms: 0 + 5 = 5
-3e = 5

Divide each side by '-3'.
e = -1.666666667

Simplifying
e = -1.666666667
Subproblem 2
Set the factor '(1 + -1e)' equal to zero and attempt to solve:

Simplifying
1 + -1e = 0

Solving
1 + -1e = 0

Move all terms containing e to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1e = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1e = 0 + -1
-1e = 0 + -1

Combine like terms: 0 + -1 = -1
-1e = -1

Divide each side by '-1'.
e = 1

Simplifying
e = 1
Solution
e = {-1.666666667, 1}